A rectangular trough, 1.6 m long, 0.50 m wide, and 0.45 m deep, is completely full of water. One end of the trough has a small drain plug right at the bottom edge. Part A When you pull the plug, at what speed does water emerge from the hole

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Physics

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22 July, 23:43

A rectangular trough, 1.6 m long, 0.50 m wide, and 0.45 m deep, is completely full of water. One end of the trough has a small drain plug right at the bottom edge. Part A When you pull the plug, at what speed does water emerge from the hole

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Julianne Barron · Answer 1

Water emerge from the hole at 2.97 m/s

Explanation:

There exist and hydrostatic pressure at the base of the trough which is due to force exerted by the water at the top.

Given that the dept of the trough is 0.45 m

g = acceleration due to gravity

v = velocity

Then;

pgh = pv²/2

gh = v²/2

v = √2gh

v = √2*9.81*0.45

v = 2.97 m/s

Velocity of the water is 2.97 m/s